Q: How is the number 23,507,482 written in Scientific Notation?
A: 2.3507482 x 107
The purpose of scientific notation is for scientists to write very large, or very small, numbers with ease.
Calculating scientific notation for a positive integer is simple, as it always follows this notation:
a x 10b
Follow the steps below to see how 23,507,482 is written in scientific notation.
To find a, take the number and move a decimal place to the right one position.
Now, to find b, count how many places to the right of the decimal.
New Number: | 2 | . | 3 | 5 | 0 | 7 | 4 | 8 | 2 |
Decimal Count: | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
There are 7 places to the right of the decimal place.
Building upon what we know above, we can now reconstruct the number into scientific notation.
Remember, the notation is: a x 10b
a = 2.3507482
b = 7
Now the whole thing:
2.3507482 x 107
Check your work:
107 = 10,000,000 x 2.3507482 = 23,507,482
23,507,480 | 23,507,481 | 23,507,483 | 23,507,484 |
2.350748 x 107 | 2.3507481 x 107 | 2.3507483 x 107 | 2.3507484 x 107 |